Modi is all set to speak face-to-face on Google+ Hangout on 24th August, which will be broadcast live on Youtube, an official statement said.
Google+ hangout is an application on Google that facilitates group video chat with up to a maximum of 10 people.
International political figures like US President Barack Obama and Australian Prime Minister Julia Gillard have in the past have used the platform to interact with people.
A release said: "One can speak to Modi on topics like 'Strong and Glorious India' cherished by Swami Vivekananda, 'Be the youth of Swami Vivekananda's dreams!", adding the last date for posting a question either through video or text is August 13.
The questions posted here will be shortlisted and the selected questioners will be invited to join the chief minister on the platform.
Modi already has a huge fan following on the social networking sites like Twitter and Facebook.
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With around eight lakh followers on Twitter and more than five lakh fans on Facebook!, the BJP leader figures amongst the prominent Indian politicians having a large following on the web.
According to the release, Modi's Google+ account, which was created only two months back, already has a followers base of more than 80,000.